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Answers will vary. Lesson 6: Angles in polygons (1) ˜ pages 21–23 1. a) Right-angled trapezium b) Scalene trapezium c) Isosceles trapezium d) Parallelogram 2. a) Angles from top le˜ clockwise: 70°, 110°, 70°, 110° b) 93°, 93° 3. a) b) c) 4. a) 125°, 125° b) 114°, 114° 5. A parallelogram has three acute angles: Never true:
This assemblage of printable angles in trapezoids worksheets includes right, isosceles and scalene trapezoids for high school students. Adequate practice PDFs have been included to find the indicated angles in each of the given trapezoids using appropriate angle properties, find the angles involving midsegment and diagonals as well.
Exam Style Questions. Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser. You may use tracing paper if needed. Guidance. Read each question carefully before you begin answering it. Donʼt spend too long on one question. Attempt every question. Check your answers seem right. Always show your workings.
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A trapezoid has two pairs of base angles. For instance, in trapezoid ABCD, TMD and TMC are one pair of base angles. The other pair is TMA and TMB. The nonparallel sides are the legs of the trapezoid. If the legs of a trapezoid are congruent, then the trapezoid is an isosceles trapezoid.
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An isosceles trapezium has: One pair of unequal parallel sides. Two non-parallel equal sides. Two pairs of adjacent equal angles. Diagonals that are equal in length. One line of symmetry.
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5) Prove the diagonals of an isosceles trapezoid are congruent. Definition of Isosceles Trapezoid: A trapezoid in which the base angles and non-parallel sides are congruent